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Finding the Fourth Proportional to 399.46, 598.80 and 142.78

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Solution

The fourth proportional to 399.46, 598.80 and 142.78 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.46 : 598.80 = 142.78 : x
  2. Step 2: Convert to fraction form
    399.46/598.80 = 142.78/x
  3. Step 3: Cross multiply
    399.46x = 598.80 × 142.78
  4. Step 4: Simplify right side
    399.46x = 85,496.66
  5. Step 5: Solve for x
    x = 85,496.66/399.46
  6. Step 6: Final answer
    x = 214.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.